Theory of nonlinear systems (Q1051596)

scientific article; zbMATH DE number 3813457

Language	Label	Description	Also known as
English	Theory of nonlinear systems	scientific article; zbMATH DE number 3813457

Statements

instance of

scholarly article

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title

Theory of nonlinear systems (English)

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published in

Journal of the Franklin Institute

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publication date

1983

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full work available at URL

http://hdl.handle.net/1721.1/4773

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zbMATH Keywords

nonlinear system identification

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Volterra series

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Wiener series

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Taylor- Cauchy transform

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bibliography

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Theory of nonlinear control

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Measurement of the Kernels of a Non-linear System of Finite Order†

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Synthesis of a Class of Non-linear Systems†

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Volterra-Wiener functionals for the analysis of nonlinear systems

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Volterra functional analysis for non-linear time-varying systems

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On the application of diakoptics to nonlinear systems

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Nonlinear Differential Equations and Analytic System Theory

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Analysis of nonlinear systems with stochastic input and stochastic parameters

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A theory of non-linear system identification

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Theory of pth-order inverses of nonlinear systems

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Functional expansions for the response of nonlinear differential systems

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Q3967411

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On the analysis of nonlinear stochastic systems

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Heat-transfer problems solved by the method of non-linear mechanics

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The orthogonal development of non-linear functionals in series of Fourier-Hermite functionals

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Q5794082

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Q5792837

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The use of characteristic functionals and cumulant-generating functionals to discuss the effect of noise in linear systems

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Q3266055

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The analytical design of control systems

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Stability by Liapunov's direct method. With applications

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On nonlinear oscillations in electromechanical systems

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Absolute stability of nonlinear systems of automatic control

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LYAPUNOV FUNCTIONS FOR THE PROBLEM OF LUR'E IN AUTOMATIC CONTROL

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On Liapunov functions of high order nonlinear systems

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Q5736289

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Q5509221

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Extension of Popov's theorems for stability of nonlinear control systems

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A frequency criterion for absolute process stability in nonlinear automatic control systems

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Stability of control systems with multiple nonlinearities and multiple inputs

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Functional calculus in the theory of nonlinear systems with stochastic signals

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Stochastic stability in nonlinear oscillating systems

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On the evaluation of the response of nonlinear systems by functional series expansion of forced and free responses

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Global properties of diffusion processes on cylindrical type phase space

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Q5591838

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Stability properties of Kalman-Bucy filters

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A larger region of convergence for the Volterra series†

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Polynomial operators in non-linear systems theory

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Bifurcation theorems and limit cycles in nonlinear systems. II

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Generalized polynomial operators for nonlinear systems analysis

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A method of determining the crosscorrelation functions for a class of non-linear systems†

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Solution of the Riccati equation by continued fractions

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Q4081107

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Measuring the Wiener kernels of a non-linear system using the fast Fourier transform algorithm

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Stationary principles and potential functions for nonlinear networks

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Q5672519

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Q4770286

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New theorems of association of variables in multiple dimensional Laplace transform

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Q4120377

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Q4777206

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Q3820514

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Simultaneous Reduction and Expansion of Multidimensional Laplace Transform Kernels

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Identification of nonlinear systems using random impulse train inputs

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Association of variables in<i>n</i>-dimensional Laplace transform

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Kernel method for nonlinear analysis: Identification of a biological control system

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Practical nonlinear system analysis by Wiener kernel estimation in the frequency domain

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New techniques and results in multidimensional problems

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An addendum to: Volterra series and geometric control theory

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Analysis and synthesis of a class of nonlinear systems

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The kernel identification method (1910-1977)-review of theory, calculation, application, and interpretation

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A family of quasi-white random signals and its optimal use in biological system identification. I: Theory

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Wiener analysis of nonlinear systems using Poisson-Charlier crosscorrelation

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The Volterra Representation and the Wiener Expansion: Validity and Pitfalls

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A Volterra representation for some neuron models

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On a multidimensional&lt;tex&gt;S&lt;/tex&gt;-transform and the realization problem for homogeneous nonlinear systems

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Bilinear and 2-power input-output maps: Finite dimensional realizations and the role of functional series

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Volterra Systems with Random Inputs: A Formalized Approach

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On the mathematical foundations of compartmental analysis in biology, medicine, and ecology

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Stochastic Identification Methods for Nonlinear Systems: An Extension of the Wiener Theory

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Volterra series and Picard iteration for nonlinear circuits and systems

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The existence and uniqueness of Volterra series for nonlinear systems

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Measurement of second-order Volterra kernels using pseudorandom ternary signals

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Stochastic functional fourier series, Volterra series, and nonlinear systems analysis

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Nonlinear systems analysis with non-Gaussian white stimuli; General basis functionals and kernels (Corresp.)

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Optimum non-linear Wiener filters

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A Volterra series approach to the solution of time varying linear differential equations

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Error analysis and optimal estimation procedures in identification of nonlinear Volterra systems

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On transfer function representations for homogeneous nonlinear systems

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Identification of Volterra kernels of a class of nonlinear systems by Walsh function techniques

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Diffusion approximations to output processes of nonlinear systems with wide-band inputs and applications

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Analysis of nonlinear stochastic systems with wide-band inputs

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On the adjoint equation of stochastic linear systems with small correlation times

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Q3818918

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Q3686575

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Nonlinear oscillation via Volterra series

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Wiener-like fourier kernels for nonlinear system identification and synthesis (nonanalytic cascade, bilinear, and feedback cases)

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Identifiers

zbMATH Open document ID

0514.93038

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DOI

10.1016/0016-0032(83)90103-5

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:1051596